## Godlovesme one year ago help pweaseee D: Andy has two similar conical hats, Hat A and Hat B. The diameter of Hat A is 18 inches, and the diameter of Hat B is 9 inches. What is the ratio of the volume of Hat A to the volume of Hat B? 2:1 16:1 4:1 8:1

1. nuttyliaczar

Volume of a cone is $\pi*r ^{2}*h/3$

2. nuttyliaczar

And diameter is just 2r, so for hat A r=9 in and hat B r=4.5 in

3. Godlovesme

im following :)

4. nuttyliaczar

Set up an equation that has volume on both sides like so: $\pi*r _{A}^{2}*h/3=\pi*r _{B}^{2}*h/3$

5. nuttyliaczar

As you can see, the pi and h/3 will cancel out once you divide both sides by them. Then you are left with r^2 on each side for the respective cones.

6. nuttyliaczar

And you can take it from there =P

7. Godlovesme

ok one sec :D

8. Godlovesme

so it would be.. $9^2 = 4.5^2$ which will simplify to $4:1$ ? :D

9. anonymous

smarty pants :3

10. Godlovesme

X'D

11. Godlovesme

thanks guys :))

12. nuttyliaczar

Yeah you got it!

13. nuttyliaczar

Every ratio type problem can be handled this way

14. Godlovesme

alright thank you so much :))

15. Godlovesme

it wasnt 4:1 :( .. oh well thanks though :)

16. Godlovesme

XDD

17. anonymous

:O oha! how so?

18. nuttyliaczar

Hmm is it not? Let me plug everything in myself

19. Godlovesme

no idea @annas and @nuttyliaczar no worries its fine , unless u want to check it :3

20. nuttyliaczar

I just checked and still got 4:1

21. Godlovesme

i'll asj my teacher, thanks anyways :)

22. Godlovesme

23. nuttyliaczar

Volume for A = pi*r^2*h/3 = 254.469*h/3 Volume for B = pi*r^2*h/3 = 63.617*h/3

24. nuttyliaczar

Dividing them gives 4/1 so... I'm not sure why that was wrong

25. Godlovesme

its ok i'll talk to my teacher :) thanks though i really appreciate ur help guys :)